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cond-mat.stat-mech2003
Stability analysis of a noise-induced Hopf bifurcation
Kirone Mallick, Philippe Marcq
We study analytically and numerically the noise-induced transition between an absorbing and an oscillatory state in a Duffing oscillator subject to multiplicative, Gaussian white n…
cond-mat.stat-mech2003
Effects of parametric noise on a nonlinear oscillator
Kirone Mallick, Philippe Marcq
We study a model of a nonlinear oscillator with a random frequency and derive the asymptotic behavior of the probability distribution function when the noise is white. In the small…